SOLUTION: The sum of two integers is 10. Three times the larger integer is three less than 8 times the smaller integer. Find the integers.

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Question 66716: The sum of two integers is 10. Three times the larger integer is three less than 8 times the smaller integer. Find the integers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
"The sum of two integers is 10." From this statement we can write:
x = 1 integer, make it the larger integer
(10-x) = another integer
;
"Three times the larger integer is three less than 8 times the smaller integer."
3x = 8(10-x) - 3
3x = 80 - 8x - 3
3x + 8x = 77
11x = 77
x = 77/11
x = 7
:
Find the integers.
The integers are 7 & 3
:
:
Check:
3(7) = 8(10-7) - 3
21 = 8(3) - 3